expax (section 3.5)

Time bar (total: 2.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze40.0ms (1.7%)

Memory
-0.7MiB live, 29.0MiB allocated; 24ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
62.5%62.4%37.5%0.1%0%0%0%5
66.7%62.4%31.2%0.1%0%6.2%0%6
75.9%68.7%21.9%0.1%0%9.4%0%7
80%68.7%17.2%0.1%0%14%0%8
86%71.8%11.7%0.1%0%16.4%0%9
88.9%71.8%9%0.1%0%19.1%0%10
92.4%73.4%6%0.1%0%20.5%0%11
94.1%73.4%4.6%0.1%0%22%0%12
Compiler

Compiled 12 to 7 computations (41.7% saved)

sample634.0ms (27%)

Memory
3.8MiB live, 434.2MiB allocated; 89ms collecting garbage
Samples
388.0ms8 256×0valid
12.0ms281×0invalid
Precisions
Click to see histograms. Total time spent on operations: 146.0ms
ival-mult!: 85.0ms (58.1% of total)
ival-expm1: 58.0ms (39.6% of total)
adjust: 2.0ms (1.4% of total)
ival->: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

explain67.0ms (2.8%)

Memory
19.2MiB live, 118.8MiB allocated; 14ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1311(-1.3614995669601233e-219 3.8022163837270957e-104)0-(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
00-0-a
00-0-(exp.f64 (*.f64 a x))
00-0-#s(literal 1 binary64)
00-0-(*.f64 a x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))cancellation1320
Confusion
Predicted +Predicted -
+1310
-1124
Precision
0.9924242424242424
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13100
-10124
Precision?
0.9924242424242424
Recall?
1.0
Freqs
test
numberfreq
0124
1132
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
24.0ms512×0valid
Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-exp: 4.0ms (39% of total)
ival-expm1: 3.0ms (29.3% of total)
ival-mult!: 3.0ms (29.3% of total)
adjust: 0.0ms (0% of total)

preprocess25.0ms (1%)

Memory
-13.0MiB live, 33.2MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01942
14542
28142
321942
497742
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.4%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Symmetry

(sort a x)

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.2%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Counts
6 → 18
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 1 binary64)
Outputs
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx x #s(hole binary64 x))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
a
@-inf
((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)
1.0ms
a
@0
((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)
1.0ms
x
@-inf
((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)
1.0ms
a
@inf
((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)
1.0ms
x
@0
((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)

rewrite138.0ms (5.9%)

Memory
-6.2MiB live, 139.4MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084321
087321
1479321
04482278
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
24 → 56
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx x #s(hole binary64 x))
Outputs
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))))
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)))
(fma.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
(expm1.f64 (fma.f64 x a #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(expm1.f64 (*.f64 x a))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))))
(-.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))
(+.f64 (cosh.f64 (*.f64 x a)) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
(*.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))
(pow.f64 (exp.f64 x) a)
(pow.f64 (exp.f64 a) x)
(/.f64 (*.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a))) (*.f64 (sinh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a)))) (-.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)) (-.f64 (*.f64 (sinh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a))) (*.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a))))))
(exp.f64 (fma.f64 x a #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(exp.f64 (*.f64 x a))
(+.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)))
(+.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a)))
(*.f64 (*.f64 #s(literal 1 binary64) x) a)
(*.f64 (*.f64 #s(literal 1 binary64) a) x)
(*.f64 (*.f64 x a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x a))
(*.f64 x a)
(*.f64 a x)
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a)) #s(literal 2 binary64))
a
x
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)))
#s(approx (* a x) (*.f64 x a))
#s(approx a a)
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a)))
#s(approx (exp (* a x)) (pow.f64 (exp.f64 x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)))
#s(approx x x)

eval6.0ms (0.2%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 709 to 182 computations (74.3% saved)

prune5.0ms (0.2%)

Memory
9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New47754
Fresh000
Picked101
Done000
Total48755
Accuracy
100.0%
Counts
55 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.0%
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
22.7%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
20.9%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
60.6%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
63.1%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
67.8%
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Compiler

Compiled 184 to 136 computations (26.1% saved)

series15.0ms (0.6%)

Memory
-27.2MiB live, 18.4MiB allocated; 4ms collecting garbage
Counts
17 → 48
Calls
Call 1
Inputs
(expm1.f64 (*.f64 x a))
(*.f64 x a)
x
a
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(fma.f64 x a #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a)
(*.f64 (*.f64 a a) x)
(*.f64 a a)
#s(literal 1/2 binary64)
Outputs
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (+ (* x a) 1) #s(hole binary64 1))
#s(approx (+ (* x a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 a))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (* (* a a) x) #s(hole binary64 (* (pow a 2) x)))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a x)))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
2.0ms
a
@0
((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
2.0ms
a
@-inf
((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
1.0ms
a
@inf
((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
1.0ms
x
@inf
((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)

rewrite263.0ms (11.2%)

Memory
-24.9MiB live, 202.3MiB allocated; 103ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0168920
0180874
1860866
07046835
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
65 → 307
Calls
Call 1
Inputs
(expm1.f64 (*.f64 x a))
(*.f64 x a)
x
a
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(fma.f64 x a #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a)
(*.f64 (*.f64 a a) x)
(*.f64 a a)
#s(literal 1/2 binary64)
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (+ (* x a) 1) #s(hole binary64 1))
#s(approx (+ (* x a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 a))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (* (* a a) x) #s(hole binary64 (* (pow a 2) x)))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a x)))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))
Outputs
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))))
(/.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)))
(fma.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (fma.f64 a x #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(expm1.f64 (*.f64 a x))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(+.f64 (cosh.f64 (*.f64 a x)) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) x) a)
(*.f64 #s(literal 1 binary64) (*.f64 a x))
(*.f64 (*.f64 a x) #s(literal 1 binary64))
(*.f64 a (*.f64 x #s(literal 1 binary64)))
(*.f64 a x)
(*.f64 x a)
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a x)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 2 binary64))
x
a
(/.f64 (neg.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))
#s(approx (exp (* a x)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64))))
(fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)))))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) a) x)
(*.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) x) a)
(*.f64 a (+.f64 (pow.f64 a #s(literal -1 binary64)) x))
(*.f64 x (+.f64 (pow.f64 x #s(literal -1 binary64)) a))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 a #s(literal -2 binary64))) a) (-.f64 x (pow.f64 a #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) a) (-.f64 (fma.f64 x x (pow.f64 a #s(literal -2 binary64))) (/.f64 x a)))
(/.f64 (*.f64 (-.f64 (*.f64 a a) (pow.f64 x #s(literal -2 binary64))) x) (-.f64 a (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 a #s(literal 3 binary64))) x) (fma.f64 a a (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 a x))))
(/.f64 (*.f64 a (-.f64 (*.f64 x x) (pow.f64 a #s(literal -2 binary64)))) (-.f64 x (pow.f64 a #s(literal -1 binary64))))
(/.f64 (*.f64 a (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x (pow.f64 a #s(literal -2 binary64))) (/.f64 x a)))
(/.f64 (*.f64 x (-.f64 (*.f64 a a) (pow.f64 x #s(literal -2 binary64)))) (-.f64 a (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 a x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 a x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 a x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 a x)))
(/.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)))
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(fma.f64 (*.f64 #s(literal 1 binary64) x) a #s(literal 1 binary64))
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(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fabs.f64 a)) (fabs.f64 a) a)
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 a x) a)
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) x)) a)
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (*.f64 #s(literal 1/2 binary64) x)) a)
(fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x a)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 a a) a)
(fma.f64 (*.f64 a a) (*.f64 #s(literal 1/2 binary64) x) a)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a a)
(fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) a) a)
(fma.f64 (*.f64 a x) (*.f64 #s(literal 1/2 binary64) a) a)
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)
(fma.f64 x (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) a)
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a)) (/.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a)))
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) #s(literal 2 binary64)) (-.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))))
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) (*.f64 (neg.f64 (pow.f64 a #s(literal -1 binary64))) (*.f64 a a)))
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) (*.f64 (neg.f64 (*.f64 a a)) (pow.f64 a #s(literal -1 binary64))))
(-.f64 a (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a x)) a))
(-.f64 a (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(-.f64 a (*.f64 (neg.f64 (*.f64 a a)) (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 a (*.f64 (neg.f64 (*.f64 (*.f64 a x) a)) #s(literal 1/2 binary64)))
(-.f64 a (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) x))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 a (-.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 a (-.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a) (*.f64 a a))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a) (*.f64 a a))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a)
(+.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))
(*.f64 (*.f64 x (fabs.f64 a)) (fabs.f64 a))
(*.f64 (*.f64 (neg.f64 a) x) (neg.f64 a))
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) x))
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) x))
(*.f64 (*.f64 a a) x)
(*.f64 (*.f64 a x) a)
(*.f64 a (*.f64 a x))
(*.f64 x (*.f64 a a))
(*.f64 (*.f64 (neg.f64 a) #s(literal -1 binary64)) a)
(*.f64 (*.f64 (neg.f64 a) a) #s(literal -1 binary64))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 #s(literal -1 binary64) (*.f64 a (neg.f64 a)))
(*.f64 (*.f64 a a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a a))
(*.f64 a (*.f64 #s(literal -1 binary64) (neg.f64 a)))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 a) a))
(neg.f64 (*.f64 a (neg.f64 a)))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))
#s(literal 1/2 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (* x a) (*.f64 a x))
#s(approx a a)
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
(*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))
#s(approx (exp (* a x)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)))
#s(approx (+ (* x a) 1) #s(literal 1 binary64))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 a x))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (+ (* (* (* a a) x) 1/2) a) a)
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a))
#s(approx (* (* a a) x) (*.f64 (*.f64 a x) a))
#s(approx (* a a) (*.f64 a a))
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (exp (* a x)) (pow.f64 (exp.f64 a) x))
#s(approx (+ (* x a) 1) (*.f64 a x))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (pow.f64 a #s(literal -1 binary64)))))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx x x)
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a (/.f64 (neg.f64 a) x))))

eval33.0ms (1.4%)

Memory
15.6MiB live, 61.7MiB allocated; 3ms collecting garbage
Compiler

Compiled 6 372 to 1 076 computations (83.1% saved)

prune16.0ms (0.7%)

Memory
-29.0MiB live, 25.2MiB allocated; 7ms collecting garbage
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New3093312
Fresh202
Picked055
Done000
Total3118319
Accuracy
100.0%
Counts
319 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.3%
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
22.7%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
20.9%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
67.1%
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
63.1%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
67.1%
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
67.8%
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Compiler

Compiled 102 to 77 computations (24.5% saved)

series16.0ms (0.7%)

Memory
25.5MiB live, 25.4MiB allocated; 0ms collecting garbage
Counts
20 → 66
Calls
Call 1
Inputs
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a)
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 a x)
a
x
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 x a (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 a x) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x)
(*.f64 (*.f64 x x) a)
(*.f64 x x)
Outputs
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* (* (+ (* 1/2 (* a x)) 1) a) x) #s(hole binary64 (* a x)))
#s(approx (* (* (+ (* 1/2 (* a x)) 1) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* 1/2 (* a x)) 1) a) #s(hole binary64 a))
#s(approx (* (+ (* 1/2 (* a x)) 1) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 (+ 1 (* 1/2 (* a x)))))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (+ (* x a) (* (pow (* a x) 2) 1/2)) #s(hole binary64 (* a x)))
#s(approx (+ (* x a) (* (pow (* a x) 2) 1/2)) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (pow (* a x) 2) 1/2) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (pow (* a x) 2) #s(hole binary64 (* (pow a 2) (pow x 2))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (* (* x x) a) #s(hole binary64 (* a (pow x 2))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (* (* (+ (* 1/2 (* a x)) 1) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (* (+ (* 1/2 (* a x)) 1) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (* (+ (* 1/2 (* a x)) 1) a) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (* (+ (* 1/2 (* a x)) 1) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 (* 1/2 (* a x))))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 (* a (+ (* 1/2 x) (/ 1 a)))))
#s(approx (+ (* x a) (* (pow (* a x) 2) 1/2)) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (+ (* x a) (* (pow (* a x) 2) 1/2)) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* 1/2 (* a (pow x 2)))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 (* -1 (* a (- (* -1/2 x) (/ 1 a))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (* (* (+ (* 1/2 (* a x)) 1) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* 1/2 (* a x)) 1) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x a) (* (pow (* a x) 2) 1/2)) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* 1/2 (* a x)) 1) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (* (+ (* 1/2 (* a x)) 1) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 (* x (+ (* 1/2 a) (/ 1 x)))))
#s(approx (+ (* x a) (* (pow (* a x) 2) 1/2)) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))))
#s(approx (* (+ (* 1/2 (* a x)) 1) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 (* -1 (* x (- (* -1/2 a) (/ 1 x))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
a
@0
((- (exp (* a x)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) 1/2 (* a x) a x 1 (- (exp (* a x)) 1) (+ (* x a) (* (pow (* a x) 2) 1/2)) (* (pow (* a x) 2) 1/2) (pow (* a x) 2) 2 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x))
3.0ms
a
@-inf
((- (exp (* a x)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) 1/2 (* a x) a x 1 (- (exp (* a x)) 1) (+ (* x a) (* (pow (* a x) 2) 1/2)) (* (pow (* a x) 2) 1/2) (pow (* a x) 2) 2 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x))
2.0ms
x
@-inf
((- (exp (* a x)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) 1/2 (* a x) a x 1 (- (exp (* a x)) 1) (+ (* x a) (* (pow (* a x) 2) 1/2)) (* (pow (* a x) 2) 1/2) (pow (* a x) 2) 2 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x))
2.0ms
a
@inf
((- (exp (* a x)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) 1/2 (* a x) a x 1 (- (exp (* a x)) 1) (+ (* x a) (* (pow (* a x) 2) 1/2)) (* (pow (* a x) 2) 1/2) (pow (* a x) 2) 2 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x))
2.0ms
x
@inf
((- (exp (* a x)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) 1/2 (* a x) a x 1 (- (exp (* a x)) 1) (+ (* x a) (* (pow (* a x) 2) 1/2)) (* (pow (* a x) 2) 1/2) (pow (* a x) 2) 2 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x))

rewrite223.0ms (9.5%)

Memory
-7.9MiB live, 224.8MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02211387
02421332
111241330
088081278
Stop Event
iter-limit
node-limit
iter-limit
Counts
86 → 451
Calls
Call 1
Inputs
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a)
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 a x)
a
x
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 x a (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 a x) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x)
(*.f64 (*.f64 x x) a)
(*.f64 x x)
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* (* (+ (* 1/2 (* a x)) 1) a) x) #s(hole binary64 (* a x)))
#s(approx (* (* (+ (* 1/2 (* a x)) 1) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* 1/2 (* a x)) 1) a) #s(hole binary64 a))
#s(approx (* (+ (* 1/2 (* a x)) 1) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 (+ 1 (* 1/2 (* a x)))))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (+ (* x a) (* (pow (* a x) 2) 1/2)) #s(hole binary64 (* a x)))
#s(approx (+ (* x a) (* (pow (* a x) 2) 1/2)) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (pow (* a x) 2) 1/2) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (pow (* a x) 2) #s(hole binary64 (* (pow a 2) (pow x 2))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (* (* x x) a) #s(hole binary64 (* a (pow x 2))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (* (* (+ (* 1/2 (* a x)) 1) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (* (+ (* 1/2 (* a x)) 1) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (* (+ (* 1/2 (* a x)) 1) a) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (* (+ (* 1/2 (* a x)) 1) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 (* 1/2 (* a x))))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 (* a (+ (* 1/2 x) (/ 1 a)))))
#s(approx (+ (* x a) (* (pow (* a x) 2) 1/2)) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (+ (* x a) (* (pow (* a x) 2) 1/2)) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* 1/2 (* a (pow x 2)))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 (* -1 (* a (- (* -1/2 x) (/ 1 a))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (* (* (+ (* 1/2 (* a x)) 1) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* 1/2 (* a x)) 1) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x a) (* (pow (* a x) 2) 1/2)) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* 1/2 (* a x)) 1) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (* (+ (* 1/2 (* a x)) 1) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 (* x (+ (* 1/2 a) (/ 1 x)))))
#s(approx (+ (* x a) (* (pow (* a x) 2) 1/2)) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))))
#s(approx (* (+ (* 1/2 (* a x)) 1) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 (* -1 (* x (- (* -1/2 a) (/ 1 x))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))))
Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x)) a)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) x)
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) (*.f64 x a))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x))
(*.f64 (*.f64 x a) (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)))
(*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
(*.f64 a (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(*.f64 a (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 x a)))
(/.f64 (-.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x a) (neg.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x a) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 x a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x a (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 x a) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 x a (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 x a) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (fabs.f64 x)) (fabs.f64 x) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x) (*.f64 x a))
(fma.f64 (pow.f64 (*.f64 x a) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x a) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (*.f64 x a) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x a) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (*.f64 x a) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x a) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 x a))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 x a))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 (*.f64 x x) a) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 x a))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 a a) x) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x (*.f64 x a))
(fma.f64 (*.f64 (*.f64 a a) x) (*.f64 #s(literal 1/2 binary64) x) (*.f64 x a))
(fma.f64 (*.f64 a a) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x a))
(fma.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 x a))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) (*.f64 x a) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 a a) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a (*.f64 x a))
(fma.f64 (*.f64 (*.f64 x x) a) (*.f64 #s(literal 1/2 binary64) a) (*.f64 x a))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 x a))
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#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(*.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (fma.f64 x a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64)))
#s(approx (+ (* (* (* x x) a) 1/2) x) x)
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x))
#s(approx (* (* x x) a) (*.f64 (*.f64 x x) a))
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a)))
#s(approx (* (* (+ (* 1/2 (* a x)) 1) a) x) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* 1/2 (* a x)) 1) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))
#s(approx (* (+ (* 1/2 (* a x)) 1) a) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* 1/2 (* a x)) 1) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (+ (* 1/2 (* a x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x a)))
#s(approx (+ (* 1/2 (* a x)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)))
#s(approx (* (* (+ (* 1/2 (* a x)) 1) a) x) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* 1/2 (* a x)) 1) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))
#s(approx (exp (* a x)) (pow.f64 (exp.f64 x) a))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (+.f64 (pow.f64 a #s(literal -2 binary64)) (/.f64 x a))) (*.f64 a a)))
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a))
#s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (neg.f64 a) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (pow.f64 a #s(literal -1 binary64)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 (-.f64 (neg.f64 x) (pow.f64 a #s(literal -1 binary64))) (neg.f64 a))) (*.f64 a a)))
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x (/.f64 (neg.f64 x) a))))
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (* (* (+ (* 1/2 (* a x)) 1) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x))
#s(approx (* (+ (* 1/2 (* a x)) 1) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx x x)
#s(approx (* (* (+ (* 1/2 (* a x)) 1) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x))
(*.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64)))
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (* (+ (* 1/2 (* a x)) 1) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))
#s(approx (* (+ (* 1/2 (* a x)) 1) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x))
#s(approx (+ (* 1/2 (* a x)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)))
#s(approx (* (* (+ (* 1/2 (* a x)) 1) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 a x))) (*.f64 x x)))
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x))
#s(approx (* (+ (* 1/2 (* a x)) 1) a) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a (/.f64 (neg.f64 a) x))))
#s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -1/2 binary64) a) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a (/.f64 (-.f64 (neg.f64 a) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x))) (*.f64 x x)))

eval48.0ms (2.1%)

Memory
5.1MiB live, 96.2MiB allocated; 9ms collecting garbage
Compiler

Compiled 9 523 to 1 604 computations (83.2% saved)

prune18.0ms (0.8%)

Memory
-23.6MiB live, 31.3MiB allocated; 6ms collecting garbage
Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New3924396
Fresh000
Picked213
Done055
Total39410404
Accuracy
100.0%
Counts
404 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.7%
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
22.7%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
4.1%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
4.9%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64))
20.9%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
63.1%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
67.1%
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
67.1%
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
67.8%
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Compiler

Compiled 168 to 121 computations (28% saved)

series24.0ms (1%)

Memory
1.0MiB live, 48.0MiB allocated; 3ms collecting garbage
Counts
30 → 110
Calls
Call 1
Inputs
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x a)
x
a
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x))
(*.f64 a a)
(/.f64 a x)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a)))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a)
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a))
(*.f64 x x)
(/.f64 x a)
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x)
(*.f64 (*.f64 x a) x)
Outputs
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* (* (+ (* 1/2 (* x a)) 1) x) a) #s(hole binary64 (* a x)))
#s(approx (* (* (+ (* 1/2 (* x a)) 1) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* 1/2 (* x a)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 (* x a)) 1) #s(hole binary64 (+ 1 (* 1/2 (* a x)))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* a x)))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 a))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ a x)))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* a (+ (* 1/2 a) (/ 1 x)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (/ a x) #s(hole binary64 (/ a x)))
#s(approx (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) #s(hole binary64 (* a x)))
#s(approx (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* (* x x) 1/2) (/ x a)) #s(hole binary64 (/ x a)))
#s(approx (+ (* (* x x) 1/2) (/ x a)) #s(hole binary64 (/ (+ x (* 1/2 (* a (pow x 2)))) a)))
#s(approx (/ x a) #s(hole binary64 (/ x a)))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (* (* x a) x) #s(hole binary64 (* a (pow x 2))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (* (* (+ (* 1/2 (* x a)) 1) x) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (* (+ (* 1/2 (* x a)) 1) x) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) #s(hole binary64 (* 1/2 (* a (pow x 2)))))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* 1/2 (* x a)) 1) #s(hole binary64 (* 1/2 (* a x))))
#s(approx (+ (* 1/2 (* x a)) 1) #s(hole binary64 (* a (+ (* 1/2 x) (/ 1 a)))))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 (* a x))))))
#s(approx (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) #s(hole binary64 (* 1/2 (* a (pow x 2)))))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* x x) 1/2) (/ x a)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (* x x) 1/2) (/ x a)) #s(hole binary64 (+ (* 1/2 (pow x 2)) (/ x a))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* 1/2 (* a (pow x 2)))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))))
#s(approx (+ (* 1/2 (* x a)) 1) #s(hole binary64 (* -1 (* a (- (* -1/2 x) (/ 1 a))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (* (* (+ (* 1/2 (* x a)) 1) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx x #s(hole binary64 x))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ (+ a (* 1/2 (* (pow a 2) x))) x)))
#s(approx (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (* x x) 1/2) (/ x a)) #s(hole binary64 (* x (+ (* 1/2 x) (/ 1 a)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (* (* (+ (* 1/2 (* x a)) 1) x) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))))
#s(approx (+ (* 1/2 (* x a)) 1) #s(hole binary64 (* x (+ (* 1/2 a) (/ 1 x)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (+ (* 1/2 (pow a 2)) (/ a x))))
#s(approx (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))))
#s(approx (+ (* (* x x) 1/2) (/ x a)) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 (* a x))))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))))
#s(approx (+ (* 1/2 (* x a)) 1) #s(hole binary64 (* -1 (* x (- (* -1/2 a) (/ 1 x))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
a
@inf
((- (exp (* a x)) 1) (* (* (+ (* 1/2 (* x a)) 1) x) a) (* (+ (* 1/2 (* x a)) 1) x) (+ (* 1/2 (* x a)) 1) 1/2 (* x a) x a 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) (/ a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) (* (+ (* (* x x) 1/2) (/ x a)) a) (+ (* (* x x) 1/2) (/ x a)) (* x x) (/ x a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (+ (* (* (* x a) x) 1/2) x) (* (* x a) x))
4.0ms
x
@inf
((- (exp (* a x)) 1) (* (* (+ (* 1/2 (* x a)) 1) x) a) (* (+ (* 1/2 (* x a)) 1) x) (+ (* 1/2 (* x a)) 1) 1/2 (* x a) x a 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) (/ a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) (* (+ (* (* x x) 1/2) (/ x a)) a) (+ (* (* x x) 1/2) (/ x a)) (* x x) (/ x a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (+ (* (* (* x a) x) 1/2) x) (* (* x a) x))
4.0ms
x
@-inf
((- (exp (* a x)) 1) (* (* (+ (* 1/2 (* x a)) 1) x) a) (* (+ (* 1/2 (* x a)) 1) x) (+ (* 1/2 (* x a)) 1) 1/2 (* x a) x a 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) (/ a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) (* (+ (* (* x x) 1/2) (/ x a)) a) (+ (* (* x x) 1/2) (/ x a)) (* x x) (/ x a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (+ (* (* (* x a) x) 1/2) x) (* (* x a) x))
4.0ms
a
@-inf
((- (exp (* a x)) 1) (* (* (+ (* 1/2 (* x a)) 1) x) a) (* (+ (* 1/2 (* x a)) 1) x) (+ (* 1/2 (* x a)) 1) 1/2 (* x a) x a 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) (/ a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) (* (+ (* (* x x) 1/2) (/ x a)) a) (+ (* (* x x) 1/2) (/ x a)) (* x x) (/ x a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (+ (* (* (* x a) x) 1/2) x) (* (* x a) x))
3.0ms
a
@0
((- (exp (* a x)) 1) (* (* (+ (* 1/2 (* x a)) 1) x) a) (* (+ (* 1/2 (* x a)) 1) x) (+ (* 1/2 (* x a)) 1) 1/2 (* x a) x a 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) (/ a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) (* (+ (* (* x x) 1/2) (/ x a)) a) (+ (* (* x x) 1/2) (/ x a)) (* x x) (/ x a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (+ (* (* (* x a) x) 1/2) x) (* (* x a) x))

rewrite221.0ms (9.4%)

Memory
23.8MiB live, 212.5MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02962522
03252388
113652379
091872334
Stop Event
iter-limit
node-limit
iter-limit
Counts
140 → 799
Calls
Call 1
Inputs
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x a)
x
a
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x))
(*.f64 a a)
(/.f64 a x)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a)))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a)
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a))
(*.f64 x x)
(/.f64 x a)
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x)
(*.f64 (*.f64 x a) x)
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* (* (+ (* 1/2 (* x a)) 1) x) a) #s(hole binary64 (* a x)))
#s(approx (* (* (+ (* 1/2 (* x a)) 1) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* 1/2 (* x a)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 (* x a)) 1) #s(hole binary64 (+ 1 (* 1/2 (* a x)))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* a x)))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 a))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ a x)))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* a (+ (* 1/2 a) (/ 1 x)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (/ a x) #s(hole binary64 (/ a x)))
#s(approx (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) #s(hole binary64 (* a x)))
#s(approx (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* (* x x) 1/2) (/ x a)) #s(hole binary64 (/ x a)))
#s(approx (+ (* (* x x) 1/2) (/ x a)) #s(hole binary64 (/ (+ x (* 1/2 (* a (pow x 2)))) a)))
#s(approx (/ x a) #s(hole binary64 (/ x a)))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (* (* x a) x) #s(hole binary64 (* a (pow x 2))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (* (* (+ (* 1/2 (* x a)) 1) x) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (* (+ (* 1/2 (* x a)) 1) x) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) #s(hole binary64 (* 1/2 (* a (pow x 2)))))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* 1/2 (* x a)) 1) #s(hole binary64 (* 1/2 (* a x))))
#s(approx (+ (* 1/2 (* x a)) 1) #s(hole binary64 (* a (+ (* 1/2 x) (/ 1 a)))))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 (* a x))))))
#s(approx (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) #s(hole binary64 (* 1/2 (* a (pow x 2)))))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* x x) 1/2) (/ x a)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (* x x) 1/2) (/ x a)) #s(hole binary64 (+ (* 1/2 (pow x 2)) (/ x a))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* 1/2 (* a (pow x 2)))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))))
#s(approx (+ (* 1/2 (* x a)) 1) #s(hole binary64 (* -1 (* a (- (* -1/2 x) (/ 1 a))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (* (* (+ (* 1/2 (* x a)) 1) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx x #s(hole binary64 x))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ (+ a (* 1/2 (* (pow a 2) x))) x)))
#s(approx (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (* x x) 1/2) (/ x a)) #s(hole binary64 (* x (+ (* 1/2 x) (/ 1 a)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (* (* (+ (* 1/2 (* x a)) 1) x) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))))
#s(approx (+ (* 1/2 (* x a)) 1) #s(hole binary64 (* x (+ (* 1/2 a) (/ 1 x)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (+ (* 1/2 (pow a 2)) (/ a x))))
#s(approx (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))))
#s(approx (+ (* (* x x) 1/2) (/ x a)) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 (* a x))))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))))
#s(approx (+ (* 1/2 (* x a)) 1) #s(hole binary64 (* -1 (* x (- (* -1/2 a) (/ 1 x))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))))
Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x)) a)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) x)
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) (*.f64 x a))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
(*.f64 (*.f64 x a) (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)))
(*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
(*.f64 a (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 a (*.f64 (*.f64 x x) a)) #s(literal 1/2 binary64) (*.f64 x a))
(fma.f64 (*.f64 a (*.f64 x a)) (*.f64 #s(literal 1/2 binary64) x) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (fabs.f64 x)) (fabs.f64 x) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 a)) (fabs.f64 a) (*.f64 x a))
(fma.f64 (*.f64 x (*.f64 (*.f64 a a) x)) #s(literal 1/2 binary64) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 a)) (neg.f64 a) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x) (*.f64 x a))
(fma.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x (*.f64 x a))
(fma.f64 (*.f64 (*.f64 a a) x) (*.f64 #s(literal 1/2 binary64) x) (*.f64 x a))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 a a) x) (*.f64 x a))
(fma.f64 (*.f64 a a) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x a))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 (*.f64 x x) a) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 a a) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a (*.f64 x a))
(fma.f64 (*.f64 (*.f64 x x) a) (*.f64 #s(literal 1/2 binary64) a) (*.f64 x a))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 x a))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (*.f64 x a))
(fma.f64 #s(literal 1 binary64) (*.f64 x a) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x a) #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (*.f64 x a))
(fma.f64 x a (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 x a (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 x a))
(fma.f64 a x (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 a x (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 x a) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) a) a))
(-.f64 (*.f64 x a) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) a) x) x))
(-.f64 (*.f64 x a) (*.f64 (neg.f64 a) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))
(-.f64 (*.f64 x a) (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 x a) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 x a))
(+.f64 (*.f64 x a) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) (*.f64 x x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x)
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) a) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) a)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) a)))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (-.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) a))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (neg.f64 x)) (neg.f64 x) x)
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (fabs.f64 x)) (fabs.f64 x) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x a) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 x x) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) x x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) a x)
(fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x)
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) a) x)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) a) x)
(fma.f64 (*.f64 x a) (*.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) x)
(fma.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (*.f64 x x)))
(-.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64))))
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 x x) a)) #s(literal 1/2 binary64)))
(-.f64 x (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) a)))
(-.f64 x (*.f64 (*.f64 (neg.f64 x) a) (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 x (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x a))))
(-.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) a))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) a)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (-.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) a)))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x)
(+.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) a)
(*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) x)
(*.f64 x (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) a) x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x a)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x a))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal -1 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x a))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x a)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal 1 binary64))
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#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (* (* (+ (* 1/2 (* x a)) 1) x) a) (*.f64 x a))
#s(approx (* (* (+ (* 1/2 (* x a)) 1) x) a) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) x)
#s(approx (* (+ (* 1/2 (* x a)) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x))
#s(approx (+ (* 1/2 (* x a)) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 (* x a)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)))
#s(approx (* x a) (*.f64 x a))
#s(approx a a)
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(*.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (fma.f64 x a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (*.f64 x a))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) a)
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x))
#s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a))
#s(approx (* a a) (*.f64 a a))
#s(approx (/ a x) (/.f64 a x))
#s(approx (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) (*.f64 x a))
#s(approx (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) x)
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) 1/2) (/ x a)) (/.f64 x a))
#s(approx (+ (* (* x x) 1/2) (/ x a)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
#s(approx (/ x a) (/.f64 x a))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (fma.f64 x a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) x)
#s(approx (* (+ (* 1/2 (* x a)) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x))
#s(approx (* (* x a) x) (*.f64 (*.f64 x x) a))
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a)))
#s(approx (* (* (+ (* 1/2 (* x a)) 1) x) a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* 1/2 (* x a)) 1) x) a) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a))
#s(approx (+ (* 1/2 (* x a)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x a)))
#s(approx (+ (* 1/2 (* x a)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)))
#s(approx (exp (* a x)) (pow.f64 (exp.f64 x) a))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (+.f64 (pow.f64 a #s(literal -2 binary64)) (/.f64 x a))) (*.f64 a a)))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) #s(literal 1/2 binary64)) a) a))
#s(approx (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a))
#s(approx (+ (* (* x x) 1/2) (/ x a)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) 1/2) (/ x a)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (+.f64 (pow.f64 a #s(literal -2 binary64)) (/.f64 x a))) (*.f64 a a)))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) (*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x (/.f64 (neg.f64 x) a))))
#s(approx (+ (* 1/2 (* x a)) 1) (*.f64 (neg.f64 a) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (pow.f64 a #s(literal -1 binary64)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 (-.f64 (neg.f64 x) (pow.f64 a #s(literal -1 binary64))) (neg.f64 a))) (*.f64 a a)))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) (*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x (/.f64 (neg.f64 x) a))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 (-.f64 (neg.f64 x) (pow.f64 a #s(literal -1 binary64))) (neg.f64 a))) (*.f64 a a)))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) (*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x (/.f64 (neg.f64 x) a))))
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (* (* (+ (* 1/2 (* x a)) 1) x) a) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x))
#s(approx x x)
(*.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x))
#s(approx (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) 1/2) (/ x a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x))
#s(approx (* (* (+ (* 1/2 (* x a)) 1) x) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) (*.f64 x x)))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x))
#s(approx (+ (* 1/2 (* x a)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) (*.f64 x x)))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 a x))) (*.f64 x x)))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) (*.f64 x x)))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x))
#s(approx (+ (* (* a a) 1/2) (/ a x)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)))
#s(approx (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) (*.f64 x x)))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) 1/2) (/ x a)) (*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) x))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) (*.f64 x x)))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 a x))) (*.f64 x x)))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x))
#s(approx (+ (* 1/2 (* x a)) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -1/2 binary64) a) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 a) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x))) (*.f64 x x)))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a (/.f64 (neg.f64 a) x))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 a) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x))) (*.f64 x x)))

eval121.0ms (5.2%)

Memory
-12.2MiB live, 132.5MiB allocated; 17ms collecting garbage
Compiler

Compiled 26 905 to 3 507 computations (87% saved)

prune29.0ms (1.2%)

Memory
9.6MiB live, 56.8MiB allocated; 2ms collecting garbage
Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New7646770
Fresh000
Picked134
Done066
Total76515780
Accuracy
100.0%
Counts
780 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.7%
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
22.7%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
4.9%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x (*.f64 (/.f64 a x) x)) x))) #s(literal 1 binary64))
4.9%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64))
7.1%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/2) (/ x a)) (/.f64 x a)) a) a))) #s(literal 1 binary64))
4.2%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/2) (/ x a)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a) a))) #s(literal 1 binary64))
7.5%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x) x))) #s(literal 1 binary64))
4.9%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x) x))) #s(literal 1 binary64))
2.8%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 #s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x)) a))) #s(literal 1 binary64))
20.9%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
63.1%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
67.1%
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
67.1%
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
67.8%
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Compiler

Compiled 854 to 371 computations (56.6% saved)

regimes30.0ms (1.3%)

Memory
8.6MiB live, 55.1MiB allocated; 4ms collecting garbage
Counts
21 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/2) (/ x a)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 #s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x)) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/2) (/ x a)) (/.f64 x a)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x (*.f64 (/.f64 a x) x)) x))) #s(literal 1 binary64))
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
Outputs
(expm1.f64 (*.f64 x a))
Calls

5 calls:

9.0ms
a
6.0ms
x
5.0ms
(*.f64 a x)
4.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
4.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
100.0%1(*.f64 a x)
100.0%1(exp.f64 (*.f64 a x))
100.0%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
100.0%1a
100.0%1x
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes28.0ms (1.2%)

Memory
-1.7MiB live, 45.1MiB allocated; 2ms collecting garbage
Counts
17 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/2) (/ x a)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 #s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x)) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/2) (/ x a)) (/.f64 x a)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x (*.f64 (/.f64 a x) x)) x))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x) x))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
Calls

5 calls:

11.0ms
a
5.0ms
x
4.0ms
(*.f64 a x)
4.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
4.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
72.0%2(*.f64 a x)
72.0%2(exp.f64 (*.f64 a x))
72.0%2(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
70.4%2a
70.2%2x
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes18.0ms (0.8%)

Memory
-24.6MiB live, 26.4MiB allocated; 4ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/2) (/ x a)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 #s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x)) a))) #s(literal 1 binary64))
Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x) x))) #s(literal 1 binary64))
Calls

5 calls:

3.0ms
a
3.0ms
x
3.0ms
(*.f64 a x)
2.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
2.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
69.6%2x
67.8%1a
67.8%1(exp.f64 (*.f64 a x))
67.8%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
67.8%1(*.f64 a x)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.2%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Calls

2 calls:

2.0ms
x
2.0ms
(*.f64 a x)
Results
AccuracySegmentsBranch
67.8%1(*.f64 a x)
67.8%1x
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes5.0ms (0.2%)

Memory
13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
Calls

5 calls:

1.0ms
a
1.0ms
x
1.0ms
(*.f64 a x)
1.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
20.9%1(exp.f64 (*.f64 a x))
20.9%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
20.9%1a
20.9%1x
20.9%1(*.f64 a x)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.4940342191213287
-0.0014450233716409098
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch14.0ms (0.6%)

Memory
-31.1MiB live, 16.4MiB allocated; 1ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
2.4154061017340336e+268
1.7896594788903717e+271
Samples
4.0ms128×0valid
Compiler

Compiled 409 to 297 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-expm1: 1.0ms (58.2% of total)
ival-mult!: 1.0ms (58.2% of total)
adjust: 0.0ms (0% of total)

derivations264.0ms (11.2%)

Memory
-1.9MiB live, 285.2MiB allocated; 10ms collecting garbage
Stop Event
fuel
Compiler

Compiled 137 to 50 computations (63.5% saved)

preprocess35.0ms (1.5%)

Memory
8.4MiB live, 59.3MiB allocated; 7ms collecting garbage
Remove

(sort a x)

Compiler

Compiled 568 to 292 computations (48.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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